their vigor, and on publishing my own ideas, have never been accused of
being a servile disciple or of swearing 'in verba magistri'.

From these studies I passed to the elements of geometry, for I never went
further, forcing my weak memory to retain them by going the same ground a
hundred and a hundred times over. I did not admire Euclid, who rather
seeks a chain of demonstration than a connection of ideas: I preferred
the geometry of Father Lama, who from that time became one of my favorite
authors, and whose works I yet read with pleasure. Algebra followed, and
Father Lama was still my guide: when I made some progress, I perused
Father Reynaud's Science of Calculation, and then his Analysis
Demonstrated; but I never went far enough thoroughly to understand the
application of algebra to geometry. I was not pleased with this method
of performing operations by rule without knowing what I was about:
resolving geometrical problems by the help of equations seemed like
playing a tune by turning round a handle. The first time I found by
calculation that the square of a binocular figure was composed of the
square of each of its parts, and double the product of one by the other;
though convinced that my multiplication was right, I could not be
satisfied till I had made and examined the figure: not but I admire
algebra when applied to abstract quantities, but when used to demonstrate
dimensions, I wished to see the operation, and unless explained by lines,
could not rightly comprehend it.

After this came Latin: it was my most painful study, and in which I never
made great progress. I began by Port-Royal's Rudiments, but without
success; I lost myself in a crowd of rules; and in studying the last
forgot all that preceded it. A study of words is not calculated for a
man without memory, and it was principally an endeavor to make my memory
more retentive, that urged me obstinately to persist in this study, which